Actually, i have said we used the same resolution mechanic or process, not that they produce the same results.This [from post 236, a while back I realize] just has to be called out.By this logic, if the search roll is a test of whether there's something there to find then the str-18 fighter swinging her greataxe is a test of whether there's something there to hit. In other words: by this logic she can make opponents appear out of thin air simply by swinging her axe for the hell of it, just like a searcher can make a secret door appear on the map where one wasn't before just by searching a wall for the hell of it.
I bring this up not just for the sheer folly of the logic, but because you've been consistently saying in here that rolling for combat actions and rolling for non-combat actions work the same at the table. They don't.
In combat play there's not usually any need to say how you're swinging your axe unless you're doing something other than the usual assumption: swinging it at your foe as hard as you can with deadly intent. In non-combat play the 'how' of your action is every bit as important as the 'what' as there are (almost always) many more variables, and many more ways in which things might go wrong - or right.
If there's contact poison on the desk you're searching I need detail on how you're searching it, without having to ask as the very fact of my asking will unduly reveal there's more to this desk than meets the eye. I-as-DM can't assume you're touching it, nor can I assume you are not. "I search the desk, my roll adds to 18" tells me nothing.
The game system defines clearly the results of a success, failure, crit etc for attack rolls based on weapons etc, but leaves much of the definition of those for ability checks to the GM.
You get that, right?
But good effort, at least a B-, at trying to manufacture ridicule for an alternative "roll means this.." mechanic used in some RPGs and by some game groups.
EDIT TO ADD
Also you do have a bit off on the general sequence of things.
[PLAYER] I search the desk. Roll 25.
[GM[ Success on the search and you find [insert "invention result]
[PLAYER] I attack the goblin. Roll25.